Today is our topic of discussion Solid Geometry.
Solid Geometry
Solids of different shapes are always needed and used in our practical life. Among these, there are regular and irregular solids. The method of determining volumes and areas of surfaces of regular solids and compound solids constructed of two regular solids will be discussed in this chapter. At the end of this chapter, the students will be able to –
- draw the symbolic diagram of a solid;
- determine volumes and areas of surfaces of prism, solids of pyramid shape, spheres and right circular cones;
- solve problems using the knowledge of solid geometry;
- measure volumes and areas of surfaces of compound solids;
- apply the knowledge of solid geometry in practical areas.
Basic Concepts
Basic concepts of points, lines and planes have been discussed in secondary general geometry. In solid geometry point, lines and planes are considered as basic concepts.
1. Each of length, breadth and height of a body is called a dimension of the body.
2. A point has no length, breadth or thickness. It is an assumption. For practical purpose, we use a dot (-) to indicate a point. It can be called a replica of position. Hence a point has no dimension. So it is zero-dimensional.
3. A line has length only, but no breadth and height. Hence a line is one dimensional. For example, in the figure below, AB is a line.
4. A surface has length and breadth, but no height. Hence a surface is two- dimensional. For example, in the figure below, ABGF is a surface.
5. A body having length, breadth and thickness is called a solid. Hence a solid is three dimensional. For example, in the figure below, ABCDEFG is a body .
See more:
- Position Vector
- Prove the total heat gained by an object is equal to the sum of the heat lost by all the surrounding objects
